The angle of banking for a cyclist taking a turn at a curve is given by tan where symbols have their usual meaning. The value of n is:

1. 1

2. 2

3. 3

4. 4

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A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is 45o, the speed of the car is:

1. 20 ms-1

2. 30 ms-1

3. 5 ms-1

4. 10 ms-1

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The banking angle for a curved road of radius 490 m for a vehicle moving at 35

1. ${\mathrm{tan}}^{-1}\left(0.25\right)$

2. ${\mathrm{tan}}^{-1}\left(0.55\right)$

3. ${\mathrm{tan}}^{-1}\left(0.45\right)$

4. ${\mathrm{tan}}^{-1}\left(0.75\right)$

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A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/sec. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1.00 m. The angle formed by the rod with respect to the vertical is:

1. Zero

2. 30°

3. 45°

4. 60°